Combining Texts

All the ideas for 'Concerning the Trinity', 'Of the standard of taste' and 'Ontology and Mathematical Truth'

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11 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9967 'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
9968 A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
9965 There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9966 The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9964 Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
9962 How can pure abstract entities give models to serve as interpretations? [Jubien]
9963 If we all intuited mathematical objects, platonism would be agreed [Jubien]
7. Existence / E. Categories / 1. Categories
16661 There are two sorts of category - referring to things, and to circumstances of things [Boethius]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
9969 The empty set is the purest abstract object [Jubien]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
18552 Forget about beauty; just concentrate on the virtues of delicacy and discernment admired in critics [Hume, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
6608 Strong sense, delicate sentiment, practice, comparisons, and lack of prejudice, are all needed for good taste [Hume]